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Re: [ontolog-forum] axiom

To: Bruce Schuman <bruceschuman@xxxxxxx>, "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>
From: "Richard H. McCullough" <rhm@xxxxxxxxxxxxx>
Date: Mon, 21 Apr 2014 10:24:51 -0700
Message-id: <COL129-W3785E7821697E03BB6A5D1AA5E0@xxxxxxx>

If I had my way, every natural language term would be (stipulatively) grounded (somehow) in the real number line, with exact measurements in x number of decimal places in explicit dimensions with a known error tolerance..  A “dog” is exactly this….



I have thought of a way to do that, using an "information theory" measure.

Say that a word has N meanings, with probabilities: p1, ... pN.

Then the "word uncertainty" is sum(-pi log pi) over i = 1 to N.

If we don't know the probabilities we can, for lack of any better idea,

take pi = 1/N, and the word uncertainty is log N, traditionally measured

in bits.

Let "proposition uncertainty" = sum(word uncertainty) over words in proposition.

Think of this uncertainty as a quality measure for the context of the proposition.

If the context has defined all the words in the proposition,

we have a perfect context with uncertainty 0.

Dick McCullough
Context Knowledge Systems
Name your propositions !

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